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SubHyperplane (Commons Math 3.2 API)
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org.apache.commons.math3.geometry.partitioning</FONT>
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Interface SubHyperplane&lt;S extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</H2>
<DL>
<DT><DT><B>Type Parameters:</B><DD><CODE>S</CODE> - Type of the embedding space.</DL>
<DL>
<DT><B>All Known Implementing Classes:</B> <DD><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</A>, <A HREF="../../../../../../org/apache/commons/math3/geometry/euclidean/twod/SubLine.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">SubLine</A>, <A HREF="../../../../../../org/apache/commons/math3/geometry/euclidean/oned/SubOrientedPoint.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">SubOrientedPoint</A>, <A HREF="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/SubPlane.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">SubPlane</A></DD>
</DL>
<HR>
<DL>
<DT><PRE>public interface <B>SubHyperplane&lt;S extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</B></DL>
</PRE>

<P>
This interface represents the remaining parts of an hyperplane after
 other parts have been chopped off.

 <p>sub-hyperplanes are obtained when parts of an <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning"><CODE>hyperplane</CODE></A> are chopped off by other hyperplanes that
 intersect it. The remaining part is a convex region. Such objects
 appear in <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/BSPTree.html" title="class in org.apache.commons.math3.geometry.partitioning"><CODE>BSP trees</CODE></A> as the intersection of a cut
 hyperplane with the convex region which it splits, the chopping
 hyperplanes are the cut hyperplanes closer to the tree root.</p>
<P>

<P>
<DL>
<DT><B>Since:</B></DT>
  <DD>3.0</DD>
<DT><B>Version:</B></DT>
  <DD>$Id: SubHyperplane.java 1416643 2012-12-03 19:37:14Z tn $</DD>
</DL>
<HR>

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<CODE>static&nbsp;class</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="type parameter in SubHyperplane.SplitSubHyperplane">U</A> extends <A HREF="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</A>&gt;</B></CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Class holding the results of the <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#split(org.apache.commons.math3.geometry.partitioning.Hyperplane)"><CODE>split</CODE></A> method.</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#copySelf()">copySelf</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Copy the instance.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#getHyperplane()">getHyperplane</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Get the underlying hyperplane.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#getSize()">getSize</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Get the size of the instance.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#isEmpty()">isEmpty</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Check if the instance is empty.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#reunite(org.apache.commons.math3.geometry.partitioning.SubHyperplane)">reunite</A></B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt;&nbsp;other)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Compute the union of the instance and another sub-hyperplane.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html" title="enum in org.apache.commons.math3.geometry.partitioning">Side</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#side(org.apache.commons.math3.geometry.partitioning.Hyperplane)">side</A></B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt;&nbsp;hyperplane)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Compute the relative position of the instance with respect
 to an hyperplane.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt;</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#split(org.apache.commons.math3.geometry.partitioning.Hyperplane)">split</A></B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt;&nbsp;hyperplane)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Split the instance in two parts by an hyperplane.</TD>
</TR>
</TABLE>
&nbsp;
<P>

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<A NAME="copySelf()"><!-- --></A><H3>
copySelf</H3>
<PRE>
<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt; <B>copySelf</B>()</PRE>
<DL>
<DD>Copy the instance.
 <p>The instance created is completely independent of the original
 one. A deep copy is used, none of the underlying objects are
 shared (except for the nodes attributes and immutable
 objects).</p>
<P>
<DD><DL>

<DT><B>Returns:</B><DD>a new sub-hyperplane, copy of the instance</DL>
</DD>
</DL>
<HR>

<A NAME="getHyperplane()"><!-- --></A><H3>
getHyperplane</H3>
<PRE>
<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt; <B>getHyperplane</B>()</PRE>
<DL>
<DD>Get the underlying hyperplane.
<P>
<DD><DL>

<DT><B>Returns:</B><DD>underlying hyperplane</DL>
</DD>
</DL>
<HR>

<A NAME="isEmpty()"><!-- --></A><H3>
isEmpty</H3>
<PRE>
boolean <B>isEmpty</B>()</PRE>
<DL>
<DD>Check if the instance is empty.
<P>
<DD><DL>

<DT><B>Returns:</B><DD>true if the instance is empty</DL>
</DD>
</DL>
<HR>

<A NAME="getSize()"><!-- --></A><H3>
getSize</H3>
<PRE>
double <B>getSize</B>()</PRE>
<DL>
<DD>Get the size of the instance.
<P>
<DD><DL>

<DT><B>Returns:</B><DD>the size of the instance (this is a length in 1D, an area
 in 2D, a volume in 3D ...)</DL>
</DD>
</DL>
<HR>

<A NAME="side(org.apache.commons.math3.geometry.partitioning.Hyperplane)"><!-- --></A><H3>
side</H3>
<PRE>
<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html" title="enum in org.apache.commons.math3.geometry.partitioning">Side</A> <B>side</B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt;&nbsp;hyperplane)</PRE>
<DL>
<DD>Compute the relative position of the instance with respect
 to an hyperplane.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>hyperplane</CODE> - hyperplane to check instance against
<DT><B>Returns:</B><DD>one of <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#PLUS"><CODE>Side.PLUS</CODE></A>, <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#MINUS"><CODE>Side.MINUS</CODE></A>, <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#BOTH"><CODE>Side.BOTH</CODE></A>,
 <A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#HYPER"><CODE>Side.HYPER</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="split(org.apache.commons.math3.geometry.partitioning.Hyperplane)"><!-- --></A><H3>
split</H3>
<PRE>
<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt; <B>split</B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt;&nbsp;hyperplane)</PRE>
<DL>
<DD>Split the instance in two parts by an hyperplane.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>hyperplane</CODE> - splitting hyperplane
<DT><B>Returns:</B><DD>an object containing both the part of the instance
 on the plus side of the instance and the part of the
 instance on the minus side of the instance</DL>
</DD>
</DL>
<HR>

<A NAME="reunite(org.apache.commons.math3.geometry.partitioning.SubHyperplane)"><!-- --></A><H3>
reunite</H3>
<PRE>
<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt; <B>reunite</B>(<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</A>&lt;<A HREF="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="type parameter in SubHyperplane">S</A>&gt;&nbsp;other)</PRE>
<DL>
<DD>Compute the union of the instance and another sub-hyperplane.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>other</CODE> - other sub-hyperplane to union (<em>must</em> be in the
 same hyperplane as the instance)
<DT><B>Returns:</B><DD>a new sub-hyperplane, union of the instance and other</DL>
</DD>
</DL>
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